2x-5=-3(x-6)

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Solution for 2x-5=-3(x-6) equation:


Simplifying
2x + -5 = -3(x + -6)

Reorder the terms:
-5 + 2x = -3(x + -6)

Reorder the terms:
-5 + 2x = -3(-6 + x)
-5 + 2x = (-6 * -3 + x * -3)
-5 + 2x = (18 + -3x)

Solving
-5 + 2x = 18 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.
-5 + 2x + 3x = 18 + -3x + 3x

Combine like terms: 2x + 3x = 5x
-5 + 5x = 18 + -3x + 3x

Combine like terms: -3x + 3x = 0
-5 + 5x = 18 + 0
-5 + 5x = 18

Add '5' to each side of the equation.
-5 + 5 + 5x = 18 + 5

Combine like terms: -5 + 5 = 0
0 + 5x = 18 + 5
5x = 18 + 5

Combine like terms: 18 + 5 = 23
5x = 23

Divide each side by '5'.
x = 4.6

Simplifying
x = 4.6

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